Classification of Harish-Chandra modules over the Virasoro Lie algebra.
Classification of irreducible weight modules
Let be a reductive Lie algebra and let be a Cartan subalgebra. A -module is called a weighted module if and only if , where each weight space is finite dimensional. The main result of the paper is the classification of all simple weight -modules. Further, we show that their characters can be deduced from characters of simple modules in category .
Classification of JBW*-triples of Type I.
Classification of Loop Modules with finite dimensional weight spaces.
Classification of p-adic 6-dimensional filiform Leibniz algebras by solutions of x q = a
We study the p-adic equation x q = a over the field of p-adic numbers. We construct an algorithm which gives a solvability criteria in the case of q = p m and present a computer program to compute the criteria for any fixed value of m ≤ p − 1. Moreover, using this solvability criteria for q = 2; 3; 4; 5; 6, we classify p-adic 6-dimensional filiform Leibniz algebras.
Classification of simple graded Lie algebras of finite growth.
Classification of solvable Lie algebras.
Classification of the simple modules of the quantum Weyl algebra and the quantum plane
Classification of the Steiner quadruple systems of cardinality 32
Classification of two involutions on compact semisimple Lie groups and root systems.
Classification theorem on irreducible representations of the -deformed algebra .
Classifying two-dimensional hyporeductive triple algebra.
Clifford algebra derivations of tau-functions for two-dimensional integrable models with positive and negative flows.
Clifford approach to metric manifolds
[For the entire collection see Zbl 0742.00067.]For the purpose of providing a comprehensive model for the physical world, the authors set up the notion of a Clifford manifold which, as mentioned below, admits the usual tensor structure and at the same time a spin structure. One considers the spin space generated by a Clifford algebra, namely, the vector space spanned by an orthonormal basis satisfying the condition , where denotes the unit scalar of the algebra and () the nonsingular Minkowski...
Coalgebraic Approach to the Loday Infinity Category, Stem Differential for -ary Graded and Homotopy Algebras
We define a graded twisted-coassociative coproduct on the tensor algebra the desuspension space of a graded vector space . The coderivations (resp. quadratic “degree 1” codifferentials, arbitrary odd codifferentials) of this coalgebra are 1-to-1 with sequences of multilinear maps on (resp. graded Loday structures on , sequences that we call Loday infinity structures on ). We prove a minimal model theorem for Loday infinity algebras and observe that the category contains the category as...
Coherent Pairs of Extensions of Lie Algebras.
Coherent unit actions on regular operads and Hopf algebras.
Cohomologie des algèbres de Lie croisées et -théorie de Milnor additive
Dans cet article, nous définissons des modules de (co)-homologie , , , , où et sont des algèbres de Lie munies d’une structure supplémentaire (algèbres de Lie croisées), qui satisfont les propriétés usuelles des foncteurs cohomologiques. Si est une -algèbre, nous utilisons ces modules d’homologie pour comparer le groupe d’homologie cyclique avec un analogue additif du groupe de -théorie de Milnor .
Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes
Cohomologie des fibrés en droites sur les variétés magnifiques de rang minimal
Le théorème de Borel-Weil-Bott décrit la cohomologie des fibrés en droites sur les variétés de drapeaux. On généralise ici ce théorème à une plus grande classe de variétés projectives : les variétés magnifiques de rang minimal.